document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96092>Question 96092</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808672/algebrahomeworkh>prentice hall mathematics algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> ellen and kate raced on their bicycles to the library after school. they both left school at 3:00pm and bicycled along the same path. ellen rode at a speed of 12 miles per hour and kate rode at 9 miles per hour. ellen got to the library 15 minutes before kate.\r<BR>\n" );
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document.write( "a. how long did it take ellen to get to the library?<BR>\n" );
document.write( "b. at what time did ellen get to the library?\r<BR>\n" );
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document.write( "Could someone please explain this problem to me in depth?...( step by step)\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69997 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ellen and Kate raced on their bicycles to the library after school. they both left school at 3:00pm and bicycled along the same path. Ellen rode at a speed of 12 miles per hour and Kate rode at 9 miles per hour. Ellen got to the library 15 minutes before Kate.<BR>\n" );
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document.write( "a. how long did it take Ellen to get to the library?<BR>\n" );
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document.write( "Let t = time for E to get to the library<BR>\n" );
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document.write( "It says she got there 15 min ahead of K, (change 15 min to .25 hrs), therefore<BR>\n" );
document.write( "(t + .25) = time for K to get to the library<BR>\n" );
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document.write( "Both drove the same distance so write a distance equation:<BR>\n" );
document.write( "Distance = speed * time<BR>\n" );
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document.write( "E's trip = K's trip<BR>\n" );
document.write( "12t = 9(t+.25)<BR>\n" );
document.write( "12t = 9t + 2.25<BR>\n" );
document.write( "12t - 9t = 2.25<BR>\n" );
document.write( "3t = 2.25<BR>\n" );
document.write( "t = 2.25/3<BR>\n" );
document.write( "t = .75 hr is E's time to the library, (.75*60 = 45 min)<BR>\n" );
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document.write( "b. at what time did Ellen get to the library? <BR>\n" );
document.write( "3:45 pm<BR>\n" );
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document.write( "Check solution by checking the distances:<BR>\n" );
document.write( "12*.75 = 9 mi<BR>\n" );
document.write( "9 *(.75 + .25) = 9 mi<BR>\n" );
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document.write( "Was this step-by-step enough for you? Any questions? </SPAN>\n" );
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